SOLUTION: Which expression is equivalent to 64 - x^2? A. (8-x)(8-x) B. (8-x)(8+x) C. (x-8)(x-8) D. (x-8)(x+8)

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Which expression is equivalent to 64 - x^2? A. (8-x)(8-x) B. (8-x)(8+x) C. (x-8)(x-8) D. (x-8)(x+8)      Log On


   

Question 1025756: Which expression
is equivalent to
64 - x^2?
A. (8-x)(8-x)
B. (8-x)(8+x)
C. (x-8)(x-8)
D. (x-8)(x+8)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
should be (8-x) * (8+x)

multiply them out and you get:

8 * 8 + 8 * x - x * 8 - x * x

simplify to get 64 + 8x - 8x - x^2

combine like terms to get 64 - x^2

the + 8x and the - 8x cancel each other out.

you are using the distributive law of multiplication that says.

(a + b) * (c + d) = a * c + a * d + b * c + b * d

simplify this and you get ac + ad + bc + bd

every term in the multiplier needs to multiply every term in the multiplicand one time.